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Solving 2 Step Equations - Solve and Match Worksheet

Twenty-one two-step equations are solved for x, then each answer is matched to a lettered code in a self-checking key, with a fully worked answer key provided.
Year groups
Secondary and Sixth Form, Years 10–13
File type
PDF
Preparation
Print ready

Updated Mar 02, 2023

Subject
Algebra, Maths
Topic
Algebra, Two-Step Equations
Resource types
Worksheets, Worksheets & Printables
Preparation
Print ready
England expectations
Key Stage 3 · Algebra

From the author

About this resource

This Two-Step Equations - Solve + Match Worksheet allows students to practice solving two-step equations. There are twenty-one problems in total. Some problems have the variable on the left side, some have the variable on the right side. Some problems involve fractions, some do not.
Once students solve an equation, they need to find their answer in the answer bank provided and match the answer letter with the problem number.

Solve & Match worksheets help students build confidence in their skills when they are able to find their answer in the answer bank! It also alleviates students constantly asking the teacher if their answer is correct.

This worksheet is suitable for students who are just learning how to solve two-step equations, or for students who need a review of two-step equations before moving on to multi-step equations. It works great as an in-class assignment or as a homework assignment!

Other Skills Offered As Solve & Match Worksheets here:

-Calculating Slope

-Exponential Equations with a Common Base

-Exponential Equations without a Common Base

-Factoring by Grouping

-Factoring Out a GCF

-Factoring Polynomials

-Factoring Trinomials (a is greater than 1)

-Factoring Trinomials (a is equal to 1)

-Laws of Exponents (Positive and Negative)

-Laws of Exponents (Positive Only)

-Solving Logarithmic Equations

-Solving Polynomial Equations

-Solving Quadratic Equations

-Solving Radical Equations

-Solving Rational Equations

-Simplifying Expressions

-Solving Linear Equations

-Solving Two-Step Equations

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Students solve two-step linear equations involving addition, subtraction, multiplication, and division.

  • Students solve equations with the variable in a denominator or as part of a fraction.

  • Students verify their solved value by matching it to a unique letter in a provided answer code.

Teaching tips

  • Have students work in the order given, since each problem's answer maps to a unique letter — an early arithmetic error will produce a letter collision they can use to self-correct.

  • Use the fraction/denominator problems (items 10-21) as a follow-up set after students are comfortable with the simpler two-step equations (items 1-9).

  • Have students show their work in the space beneath each problem so mismatched letters can be traced back to a specific step.

Skills covered

  • Two-step equation solving — students isolate a variable across equations combining addition/subtraction with multiplication/division.

  • Equations with fractional expressions — students solve for a variable appearing in a numerator or denominator of a fraction.

  • Self-checking via answer matching — students verify their solution by confirming it matches a unique letter in the provided code, since each letter is used only once.

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National Curriculum in England

National Curriculum in England expectations

England expectations

  • Key Stage 3 · Algebra — England Key Stage 3 Mathematics: use algebraic methods to solve linear equations in 1 variable (including all forms that require rearrangement).

Core concepts

  • Two-step equations

  • Solving for a variable

  • Fractions in equations

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